The Unified Admissibility Equation

This note presents a domain-neutral condition governing system continuation. The Unified Admissibility Equation states that a system persists if and only if its generated state satisfies admissibility constraints. By formalizing continuation as a binary admissibility relation, the result unifies logical, geometric, and dynamical representations of persistence within a single structural criterion. The formulation operates prior to domain-specific laws and therefore provides a minimal universal validity condition for modeled evolution across physical, biological, computational, and formal systems.